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14011139144448 = 28332027074529
BaseRepresentation
bin1100101111100011100011…
…1110001011101100000000
31211121110012101012010022000
43023320320332023230000
53314024303110110243
645444343425344000
72644162042461255
oct313707076135400
954543171163260
1014011139144448
1145120aa860796
1216a3552198000
137a8324949394
143661dd9dd42c
151946ddcc55d3
hexcbe38f8bb00

14011139144448 has 72 divisors (see below), whose sum is σ = 41433403393200. Its totient is φ = 4670379712512.

The previous prime is 14011139144447. The next prime is 14011139144479. The reversal of 14011139144448 is 84444193111041.

It is a happy number.

14011139144448 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 113 + 91 + 4 + 4 + 448 = 666.

14011139144448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (14011139144441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1013530353 + ... + 1013544176.

Almost surely, 214011139144448 is an apocalyptic number.

14011139144448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14011139144448 is an abundant number, since it is smaller than the sum of its proper divisors (27422264248752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14011139144448 is an equidigital number, since it uses as much as digits as its factorization.

14011139144448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027074554 (or 2027074534 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14011139144448 in words is "fourteen trillion, eleven billion, one hundred thirty-nine million, one hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 2027074529 4054149058 6081223587 8108298116 12162447174 16216596232 18243670761 24324894348 32433192464 36487341522 48649788696 54731012283 64866384928 72974683044 97299577392 109462024566 129732769856 145949366088 194599154784 218924049132 259465539712 291898732176 389198309568 437848098264 518931079424 583797464352 778396619136 875696196528 1167594928704 1556793238272 1751392393056 2335189857408 3502784786112 4670379714816 7005569572224 14011139144448